Stabilization of Euler-Bernoulli beam with a nonlinear locally distributed feedback control |
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Authors: | Qingxu Yan Shuihung Hou Lanlan Zhang |
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Affiliation: | 1.Information Engineering School,China Geosciences University,Beijing,China;2.Department of Applied Mathematics,The Hong Kong Polytechnic University,Hong Kong,China |
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Abstract: | This paper studies the stabilization problem of uniform Euler-Bernoulli beam with a nonlinear locally distributed feedback
control. By virtue of nonlinear semigroup theory, energy-perturbed approach and polynomial multiplier skill, the authors show
that, corresponding to the different values of the parameters involved in the nonlinear locally distributed feedback control,
the energy of the beam under the proposed feedback decays exponentially or in negative power of time t as t → ∞. |
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Keywords: | |
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